What is factor 49x^4y^2-64w^{10}z^{14} ?

The solution to factor 49x^4y^2-64w^{10}z^{14} is (7x^2y+8w^5z^7)(7x^2y-8w^5z^7)

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factor 49x^4y^2-64w^{10}z^{14}

factor

49 x^{4} y^{2} - 64 w^{10} z^{14}

(7 x^{2} y + 8 w^{5} z^{7}) (7 x^{2} y - 8 w^{5} z^{7})

Solution steps

49 x^{4} y^{2} - 64 w^{10} z^{14}

49 x^{4} y^{2} = (7 x^{2} y)^{2}

64 w^{10} z^{14} = (8 w^{5} z^{7})^{2}

= (7 x^{2} y)^{2} - (8 w^{5} z^{7})^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(7 x^{2} y)^{2} - (8 w^{5} z^{7})^{2} = (7 x^{2} y + 8 w^{5} z^{7}) (7 x^{2} y - 8 w^{5} z^{7})

= (7 x^{2} y + 8 w^{5} z^{7}) (7 x^{2} y - 8 w^{5} z^{7})

\frac{1}{6}

2 x < 4 - 10 x

4 x + 2 > 2 x - 1

25 \cdot 2

12 = \frac{7}{2} (5 x + 2)

What is factor 49x^4y^2-64w^{10}z^{14} ?
The solution to factor 49x^4y^2-64w^{10}z^{14} is (7x^2y+8w^5z^7)(7x^2y-8w^5z^7)